Problem $3)$ A baseball supplies distributor has determined that demand for a purchased item averages $402$ units per week with a standard deviation of weekly demand equal to $22\mathrm{.}5$ units. The purchasing lead$-$time is $2$ weeks. Answer the following questions assuming the company is willing to accept a stockout risk of no more than $2\mathrm{.}8\%(\mathrm{.}0280)\mathrm{.}12$ points

Appendix B$,$ Table B from Textbook

$\backslash$table$[[Z,00,01,02,03,04,\mathrm{.}05,\mathrm{.}06,\mathrm{.}07,\mathrm{.}08,\mathrm{.}09$